Solving the Equation: 6x - (x-2)8 = (0.2x + 1.5) - 0.7
Let's break down the given equation and solve for x:
The Given Equation
6x - (x-2)8 = (0.2x + 1.5) - 0.7
Step 1: Simplify the Left Side
Expanding the parentheses on the left side, we get:
6x - x + 16 = (0.2x + 1.5) - 0.7
Step 2: Combine Like Terms
Combine like terms on the left side:
5x + 16 = (0.2x + 1.5) - 0.7
Step 3: Simplify the Right Side
Simplify the right side of the equation:
5x + 16 = 0.2x + 1.5 - 0.7 5x + 16 = 0.2x + 0.8
Step 4: Solve for x
Now, let's solve for x:
5x - 0.2x = 0.8 - 16 4.8x = -15.2 x = -15.2 / 4.8 x = -3.17
The Solution
Therefore, the value of x is approximately -3.17.